Finding the Third Proportional to 829,620 and 1,772,964
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Solution
The third proportional to 829,620 and 1,772,964 is: 3,788,965.24
Step by Step Solution
- Step 1: Write the proportion equation
829,620 : 1,772,964 = 1,772,964 : x - Step 2: Convert to fraction form
829,620/1,772,964 = 1,772,964/x - Step 3: Cross multiply
829,620x = 1,772,964 × 1,772,964 - Step 4: Simplify right side
829,620x = 3,143,401,345,296 - Step 5: Solve for x
x = 3,143,401,345,296/829,620 - Step 6: Final answer
x = 3,788,965.24
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.